Identifying Groups in a Boolean Algebra

• 발행기관: 한국재정학회(구 한국재정·공공경제학회)
• 저자명: 조원기(Wonki Jo Cho) Biung-Ghi Ju
• 간행물 정보: 『한국재정학회 학술대회 논문집』2016년도 추계학술대회 논문집, 1~16쪽, 전체 16쪽
• 주제분류: 경제경영 > 경제학
• 파일형태: PDF
• 발행일자: 2016.10.30

영문 초록

We study the problem of determining memberships to the groups in a Boolean algebra. The Boolean algebra is composed of basic groups (e.g., “J” and “K”) and the other groups that are derived from basic groups through the conjunction,disjunction, or negation operations (e.g., “J and K”, “J or K”, “not J”, etc.). All groups, basic and derived, are to be identified simultaneously based on the opinions of the potential members. Our main results are characterizations of (social decision) rules by means of independence axioms that are variants of Arrow’s independence of irrelevant alternatives. We report that any of these independence axioms, together with other fairly mild axioms, implies simple decision schemes that focus on a single fixed vote for every membership decision. These rules are characterized earlier in the binary and multinary group identification models by Miller (2008) and Cho and Ju (2015). We unify these two models and their main results. Our extended setup uncovers implicit constraints in the earlier studies. Dropping these constraints, as we propose, leads to quite a rich spectrum of rules. Among them are the consent rules by Samet and Schmeidler (2003).

목차

1 Introduction

2 Model

3 Results

4 Omitted Proofs

키워드

multinary group identification Boolean algebra independence consistency one-vote rules